Question

A wave travels along a string with a frequency of 50 Hz and wavelength of 2 m. What is its speed?

• A. 25 m/s
• B. 50 m/s
• C. 100 m/s
• D. 200 m/s

Hint:

Use the wave speed formula \( v = f\lambda \) for all types of waves. Always ensure frequency is in hertz (Hz) and wavelength is in meters (m) to get speed in meters per second (m/s).

Answer 1

The Correct Option is C

To find the speed of a wave, we use the basic wave speed formula:
\[ v = f \lambda \] where:
\( v \) = speed of the wave
\( f \) = frequency of the wave
\( \lambda \) = wavelength of the wave
Step 1: Write down the given values
Frequency \( f = 50 \, \text{Hz} \)
Wavelength \( \lambda = 2 \, \text{m} \)
Step 2: Substitute into the formula
\[ v = 50 \times 2 = 100 \, \text{m/s} \]
Step 3: Interpretation
The wave moves along the string at a speed of 100 meters per second. This means each wave crest (or any point on the wave) travels 100 meters in one second.